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Finding the Fourth Proportional to 493,334.40, 738,808.80 and 282,332.64

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Solution

The fourth proportional to 493,334.40, 738,808.80 and 282,332.64 is: 422,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,334.40 : 738,808.80 = 282,332.64 : x
  2. Step 2: Convert to fraction form
    493,334.40/738,808.80 = 282,332.64/x
  3. Step 3: Cross multiply
    493,334.40x = 738,808.80 × 282,332.64
  4. Step 4: Simplify right side
    493,334.40x = 208,589,838,959.23
  5. Step 5: Solve for x
    x = 208,589,838,959.23/493,334.40
  6. Step 6: Final answer
    x = 422,816.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.